Might this lathe be "home-built" - from a collection of disparate parts? The writer does tend towards that opinion…
Resident in the UK and strongly-built, the centre height looks to be around 3.5 inches and the distance between centres approximately 13 inches. Equipped with backgear at a ration of around 6 : 1, the headstock (which is sitting on a raiser block) probably has a spindle running in roller bearings - with its 3-step pulley taking an "A" section V-belt. The countershaft is a Myford, as used on that Company's ML2 and ML4 lathes until around 1944. However, in this application, it appears to have been fitted with a clutch, the operating knob being to the right with engagement and disengagement of the drive being by sliding the spindle in and out. No screwcutting is fitted and the compound slide rest, with its very long-travel top slide, more resembles that of a "precision bench lathe" rather than one for ordinary amateur model-engineering use..